MAT 214 Prof. Erstenyuk Name: 1.2 Patterns and Pascal's Triangle Group Members: Part I: Patterns in Sequences 1. Use the method of successive differences to find the next two terms in each sequence. When possible find the formula that generates the sequence. a.) 2, 8, 14, 20, ... b.) 1, 4, 9, 16, 25, ... C.) 1, 3, 6, 10, ... d.) 1, 15, 53, 127, 249, ... e.) 2, 6, 18, 54, 162, ... 2. Two of the patterns above are called figurate numbers. The figurate numbers make common figures, or shapes. Can you figure out which patterns are figurate and what shapes they make? 3. Take a closer look at the formulas for the sequences above. Are any of them linear, quadratic, or polynomial functions of degree more than 2? Which